Correct Answer is (C) x
\(f(x)=\frac{1}{1-x}\)
\(\Rightarrow (fofof)(x)=f(f(f(x)))\)
\(\Rightarrow f(f(x))=\frac{1}{1-f(x)}\)\(=\frac{1}{1-\frac{1}{1-x}}\)\(=\frac{1-x}{1-x-1}\)\(=\frac{x-1}{x}\)\(=1-\frac{1}{x}\)
\(\Rightarrow f(f(f(x)))=\frac{1}{1-f(f(x))}\)\(=\frac{1}{1-(1-\frac{1}{x})}\)\(=\frac{1}{\frac{1}{x}}\)= x